Question

factorice 27x^3+125y^3

Answer 1

Factorizar.

Caso .
Suma de Cubos.

Aplicas.
a³ + b³ = (a + b)(a² - ab + b²)

27x³ + 125y³ =
3³x³ + 5³y³ =
(3x + 5y)((3x)² - (3x)(5y) + (5y)² =
(3x + 5y)(3²x² - 15xy + 5²y²) =
(3x + 5y)(9x² - 15xy + 25y²)

Respuesta.
(3x + 5y)(9x² - 15xy + 25y²)